Wow that's a great idea I will start thinking about those stuff from now on 
About the names I don't know how many characters is the limit but I assume that the name can have the same amount of letters as the biggest perk name already used in game so I will think about names too.
Will post here if I come up with anything
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OK I thought of a couple bonuses for the SPECIAL bobbleheads, this is just a draft so I am posting it here to get some feedback about the bonuses I thought and to collect any suggestions other people might have for them too
. I kept the current bonus and added two other ones to make the count be three, this doesn't means I wont have more suggestions in the future for a particular bonus.
Also the values are just a random value I thought of (usually 10%) they are just there for an idea, I need feedback of actual values so help me out
. And to end this I thought of bonuses that might relate (kinda, some were just impossible) to the phrase the bobblehead has.
So don't be shy and speak out your opinions
. Still thinking of names for the perks
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[collapsed title=Spoiler]
Strength
"It's essential to give your arguments impact."
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You treat any armor you wear as one weight category lower (Heavy->Medium) (Medium->Light) -
Your Unarmed and Melee weapon damage is increased by 10% -
You can carry 25lb more
Perception
"Only through observation will you perceive weakness."
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15% more accurate in VATS -
Mines and floor traps appear marked on your pipboy compass -
Your chance of hitting critically is increased by 10%
Endurance
"Always be ready to take one for the team."
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Your DT increases by 5 (or maybe DR) -
Your life points increase by 15 -
Your life points regenerate over time (slower than any other regen effect in game or the same as the slower one)
Charisma
"Nothing says pizzaz like a winning smile."
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The attack speed of your followers is increased by 10% -
You can have extra followers (maybe 1 more or maybe based on the character charisma value) -
You retain your followers special perk even when they are not with you
Intelligence
"It takes the smartest individuals to realize there's always more to learn."
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Each time you level up you get 1 more skill point -
Hacking terminals is easier for you (somehow) -
You gain twice as much experience from hacking terminals, disarming mines and traps and lock picking
Agility
"Never be afraid to dodge the sensitive issues."
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Your AP regenerate 10% faster -
Enemies have 10% less chance to score a critical hit on you -
When the player character is moving, it adds +5 points of damage to weapons and +10 points to Damage Resistance. (Like the Superior Defender)
Luck
"There's only one way to give 110%."
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Your chances of critical hit increase by 50% -
You have a 10% chance of knock down an enemy with each attack -
You are so lucky that from time to time you notice you have more stuff than you remember getting (each 24 hours there is a chance of any consumable or caps or a small amount of ammo for the weapon you are using appear on your inventory)
[/collapsed]
Also just thought that to avoid players exploiting the changing bobblehead bonuses maybe restrict to be able to change them only outside or only where and when we can fast travel (so no changing when there are enemies nearby), or maybe you can change bonuses once each 24 hours or only when the player sleeps or even all of those xD.